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Finding the Fourth Proportional to 7,218.84, 9,962.49 and 4,075.23

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Solution

The fourth proportional to 7,218.84, 9,962.49 and 4,075.23 is: 5,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.84 : 9,962.49 = 4,075.23 : x
  2. Step 2: Convert to fraction form
    7,218.84/9,962.49 = 4,075.23/x
  3. Step 3: Cross multiply
    7,218.84x = 9,962.49 × 4,075.23
  4. Step 4: Simplify right side
    7,218.84x = 40,599,438.12
  5. Step 5: Solve for x
    x = 40,599,438.12/7,218.84
  6. Step 6: Final answer
    x = 5,624.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.